# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0028 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0028?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 12, page id 85138403X:0028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.88 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. DE CACLDLDE. Datur irem sCOeNtI C Z Y CeNErUI GPAVIEATIS (UE 523, Gin POnItuT, _ 567. 80. deinceps oltendetur;) adeoque e ipsius dictancia ab aequilibrii linea C F: ElIO CaE. LFIELLAGUO, PTOPTeF a B Dictancia ceneri gravicaris seomenti C L X ab eadem C F recta, ad distantia E, uE y ad B. (Nempe in ratione QUX COIMPONLEUL EX PATIOHE MOIEHEOTUI, a Ad B; AIque reCIPIOCA magnicudinum, r ad a.) pur 38. Similicer momencum seomenti C Z. Y Ad MOIeHEUL seomenti C2 T, respectu linex 2. Y, est uc solidum iltius ad Folidum hujus corvertione circa recta Z Y. FaCtum. Sed haec ratio superius daca el, per 528; Ergo _ illa. FAo uc a ad s. Moonicudinum aurem ratio (uE PriUS) uc a 2d 7. Diltancia vero centri gravicaris seomenti C2 Y a recta Z Y, (ICG. Fric di- stincia ceneri gravieacis segmenci CZ. V ad distanciam 5, uF Z ad s. Nempe 2G 39. Cum ieaque daca sic istius diltanciarum a recta C F, tum d recta Z Y, (acque inera ipsum segmentum esse conster,) datur _ ipsum GraVIEatIS cenEruM guXTIEUM. Centrum (o- 40. Deinde, ad inveniendum centrum gravicaris in Polidis; Supponimus ur supra in segmeneis circularibus, ita jam in sphae- ralibus segmentis cenerum grariearis dacum esse: vel, h exiga- Eur, Parari Cumus exhibere, uc intra 567 E se99. 42. Ponamus jam solidum factum ex convertione semiereloi- dis C A F circa rectam A F, secari plano quod plano C A F recte insistae in A F recta, semisolidum abscindens; cujus propterea centrum graviratis in plano C A F esse manifectum eAt. 42. Deinde, cum solidum sive ex convertione, sive ex semi- COnvertiOne Traperii V BDP (cIrCA reCtAM A F,) ad solidum ex limili convertione vel semiconreriione crionouli v LP, lIL uE dd 2, (uc S 24 Ostentum est;) quaerantur urriusque centra gravica ris, ut habeacur rario distanciarum cum a recta AF tum a recta F 43. Hlabetur aucem solidi ex semiconrertione Triperii Cenerum raricacis, si in recta C. J. incellisatur punctu K abscindere rectam lidi circa